涡旋边缘线的分形特征
FRACTALS OF VORTEX AND EDDY PERIMETERS
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摘要: 非线性作用可以使初始时刻等值线光滑的圆形和椭圆形涡旋演化为边缘不光滑、面积大小不等的多个涡旋和涡块共存的复杂流型。这些涡旋和涡块的边缘线具有分形特征,其数值与Lovejoy根据卫星云图和雷达探测资料求得的热带云块边缘线的分形结果较为接近。Abstract: Nonlinear interaction can make at ranslation from the initial circular and elliptical vortices with smooth contours to complex flow patterns in which variours scales vortices and eddies with unsmooth contours coexist. The perimeters of the vortices and eddies are characterized as fractals, the fractal dimensions are close to that obtained by Lovejoy based on the geometry of satellite and radar determined cloud and rain areas in the tropical regions.